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Finding the Third Proportional to 16,648,029,564.75 and 38,846,744,717.25

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Solution

The third proportional to 16,648,029,564.75 and 38,846,744,717.25 is: 90,645,536,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648,029,564.75 : 38,846,744,717.25 = 38,846,744,717.25 : x
  2. Step 2: Convert to fraction form
    16,648,029,564.75/38,846,744,717.25 = 38,846,744,717.25/x
  3. Step 3: Cross multiply
    16,648,029,564.75x = 38,846,744,717.25 × 38,846,744,717.25
  4. Step 4: Simplify right side
    16,648,029,564.75x = 1,509,069,575,127,190,732,800
  5. Step 5: Solve for x
    x = 1,509,069,575,127,190,732,800/16,648,029,564.75
  6. Step 6: Final answer
    x = 90,645,536,713.99

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.